Theorems · Theorem · commutative algebra
Prime.not_isSquare
∀ {M : Type u_1} [inst : CommMonoidWithZero M] [IsCancelMulZero M] {p : M}, Prime p → ¬IsSquare p- Defined in
- Mathlib.Algebra.Prime.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- Primestatement and proof · cited by 277
- IsCancelMulZerostatement and proof · cited by 177
- IsSquarestatement · cited by 132
- Prime.irreducibleproof · cited by 54
- Irreducible.not_isSquareproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsSquare.not_primeproof · cited by 0